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08/28/2023
Distributionally Robust Statistical Verification with Imprecise Neural Networks
A particularly challenging problem in AI safety is providing guarantees ...
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07/13/2023
A Novel Bayes' Theorem for Upper Probabilities
In their seminal 1990 paper, Wasserman and Kadane establish an upper bou...
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06/16/2023
Is the Volume of a Credal Set a Good Measure for Epistemic Uncertainty?
Adequate uncertainty representation and quantification have become imper...
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05/24/2023
Zero-shot Task Preference Addressing Enabled by Imprecise Bayesian Continual Learning
Like generic multi-task learning, continual learning has the nature of m...
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02/21/2023
Using Semantic Information for Defining and Detecting OOD Inputs
As machine learning models continue to achieve impressive performance ac...
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02/20/2023
Take Me Home: Reversing Distribution Shifts using Reinforcement Learning
Deep neural networks have repeatedly been shown to be non-robust to the ...
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02/19/2023
Imprecise Bayesian Neural Networks
Uncertainty quantification and robustness to distribution shifts are imp...
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01/13/2023
Constriction for sets of probabilities
Given a set of probability measures 𝒫 representing an agent's knowledge ...
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06/22/2022
Concentration inequalities and optimal number of layers for stochastic deep neural networks
We state concentration and martingale inequalities for the output of the...
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03/01/2022
Tight bounds for augmented KL divergence in terms of augmented total variation distance
We provide optimal variational upper and lower bounds for the augmented ...
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11/01/2021
Extended probabilities in Statistics
We propose a new, more general definition of extended probability measur...
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10/08/2021
Dynamic Precise and Imprecise Probability Kinematics
We introduce a new method for updating subjective beliefs based on Jeffr...
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03/13/2020
Ergodic theorems for imprecise probability kinematics
In a standard Bayesian setting, there is often ambiguity in prior choice...
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02/19/2020
On the expected number of components in a finite admixture model
In this paper we describe the growth rate of the expected number of comp...
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02/19/2020
On the expected number of components in a finite mixture model
In this paper we describe the growth rate of the expected number of comp...
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02/19/2020